How do I get Safari to stop launching an app automatically?
Solution 1:
In iOS 9, I've had success doing a long tap on the link and selecting "Open" from the pop-up menu. That opens a link and keeps it in Safari rather than jumping into an app (recently tested with an IMDB link from Google search results).
Solution 2:
I would uninstall the LinkedIn app. That would solve the issue - however you may not want to do that. LinkedIn data mines your phone, contacts and emails, I use linkedIn but do not trust the company.